# Lesson 5

Circumference and Wheels

Let’s explore how far different wheels roll.

### Problem 1

The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?

### Problem 2

The wheels on Kiran's bike are 64 inches in circumference. How many times do the wheels rotate if Kiran rides 300 yards?

### Problem 3

The numbers are measurements of radius, diameter, and circumference of circles A and B. Circle A is smaller than circle B. Which number belongs to which quantity?

2.5, 5, 7.6, 15.2, 15.7, 47.7

### Problem 4

Circle A has circumference \(2\frac23\) m. Circle B has a diameter that is \(1\frac12\) times as long as Circle A’s diameter. What is the circumference of Circle B?

### Problem 5

The length of segment \(AE\) is 5 centimeters.

- What is the length of segment \(CD\)?
- What is the length of segment \(AB\)?
- Name a segment that has the same length as segment \(AB\).